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Home/ Questions/Q 3455072
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Editorial Team
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Editorial Team
Asked: May 18, 20262026-05-18T09:34:09+00:00 2026-05-18T09:34:09+00:00

I don’t know if this is even possible but I’d like to be able

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I don’t know if this is even possible but I’d like to be able to take a set of points, run something on them that calculates the moments, skew and kurtosis values, and have another function that would take those elements and reverse engineer a new set of points using modified values for the moments, skew and/or kurtosis. I already have the analytical function in Delphi Pro 6 which is:

procedure MomentSkewKurtosis(const Data: array of Double;var M1, M2, M3, M4, Skew,Kurtosis: Extended);

I’m looking for a partner function that could return a new Data array after I make alterations to any of the output parameters “var” in MomentSkewKurtosis() and pass them back in to the partner function as input parameters. For example, suppose I wanted to increase the Skew of the data and get a new set of points back that would be the original set of points altered just enough to generate the new Skew value.

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  1. Editorial Team
    Editorial Team
    2026-05-18T09:34:09+00:00Added an answer on May 18, 2026 at 9:34 am

    The problem is not easy, and probably better targetted at stats, but I’ll give you a pointer to a paper that I think is very good, and straight to the mark: Towards the Optimal Reconstruction of a Distribution from its Moments

    Hope this helps!

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